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Finding the Fourth Proportional to 201,505.67, 278,077.80 and 110,859.67

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Solution

The fourth proportional to 201,505.67, 278,077.80 and 110,859.67 is: 152,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,505.67 : 278,077.80 = 110,859.67 : x
  2. Step 2: Convert to fraction form
    201,505.67/278,077.80 = 110,859.67/x
  3. Step 3: Cross multiply
    201,505.67x = 278,077.80 × 110,859.67
  4. Step 4: Simplify right side
    201,505.67x = 30,827,613,142.33
  5. Step 5: Solve for x
    x = 30,827,613,142.33/201,505.67
  6. Step 6: Final answer
    x = 152,986.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.